Detailed Information on Publication Record
2025
Harmonic Berezin transform on half-space with vertical weights
BRADÍK, JaroslavBasic information
Original name
Harmonic Berezin transform on half-space with vertical weights
Authors
Edition
Journal of Mathematical Analysis and Applications, San Diego (USA), Academic Press Inc. Elsevier Science, 2025, 0022-247X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 1.300 in 2022
Organization unit
Mathematical Institute in Opava
UT WoS
001307912100001
Keywords in English
Bergman kernel; Harmonic Bergman kernel; Berezin transform; Asymptotic expansion
Tags
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
Změněno: 17/1/2025 14:20, Mgr. Aleš Ryšavý
Abstract
V originále
We consider weighted harmonic Bergman spaces on upper half-space with weights depending only on the vertical coordinate. In these settings, we give full asymptotic expansion of weighted harmonic Bergman kernel as well as full asymptotic expansion of the harmonic Berezin transform for functions depending only on the vertical coordinate. Both expansions utilize known holomorphic case for the Siegel domain.